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Finding the Fourth Proportional to 7,231.52, 10,839.98 and 5,496.50

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Solution

The fourth proportional to 7,231.52, 10,839.98 and 5,496.50 is: 8,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.52 : 10,839.98 = 5,496.50 : x
  2. Step 2: Convert to fraction form
    7,231.52/10,839.98 = 5,496.50/x
  3. Step 3: Cross multiply
    7,231.52x = 10,839.98 × 5,496.50
  4. Step 4: Simplify right side
    7,231.52x = 59,581,950.07
  5. Step 5: Solve for x
    x = 59,581,950.07/7,231.52
  6. Step 6: Final answer
    x = 8,239.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.